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Problem

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14 Nov 2021

Given information

A farmer with   of fencing wishes to surround a rectangular area and divide it into four pens by running fencing parallel to one edge of the rectangle. What is the total possible area of the four pens?  Create a diagram that depicts the overall situation. Introduce notation and name your symbols on the diagram.

Step-by-step explanation

Step 1.

In his 1797 work Théorie des fonctions analytiques, Joseph-Louis Lagrange proposed an additional form for the remainder of Taylor's series. The remainder in Lagrange's version is as follows:

Suppose   is a function such that   is continuous on an interval containing   and  . Then
 
where   is some number between   and .
 
 

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